What is the amicable number?
A pair of number so different but the sum of its proper
divisor is equal to each other is called Amicable number.
Examples are
220, 284
2620, 2924
5020, 5564
6232, 6368
Let’s elaborate it 2620 and 2924
2620 proper divisors:
1 2 4 5 10 20 131 262 524 655 1310
=2924
2924 proper divisors:
1 2 4 17 34 43 68 86 172 731 1462
=2620
Here 2620 divisor sum is 284 and 284 divisor sum is 2924 which equal to
each other.
In the following program, we have taken two number1=12620 and number2=2924
and calculate its summation of numbers divisor.
Amicable number in java
{
public static void
main(String args[])
{
int sum1,sum2,i;
int number1 = 2620;
int number2 = 2924; //
pair of two number
sum1 = sum2 = 0;
// First number sum
System.out.print(number1
+ "=");
for(i=1; i<number1
;i++)
{
if(number1 % i == 0)
{
System.out.print(i + " ");
sum1 = sum1 + i;
}
}
System.out.println("=" + sum1);
// Second number sum
System.out.print(number2
+ "=");
for(i=1; i<number2
;i++)
{
if(number2 % i == 0)
{
System.out.print(i + " ");
sum2 = sum2 + i;
}
}
System.out.println("=" + sum2);
// cheching of first
number sum to first number
// second to first
if(sum1 == number2
&& sum2 == number1)
{
System.out.println("\nAmicable Number");
}
else
{
System.out.println("\nNot amicable Number");
}
}
}
Output
2620=1 2 4 5 10 20 131 262 524 655 1310 = 2924
2924=1 2 4 17 34 43 68 86 172 731 1462 = 2620
